1155513600 has 324 divisors, whose sum is σ = 4289996256. Its totient is φ = 307722240.

The previous prime is 1155513553. The next prime is 1155513607. The reversal of 1155513600 is 63155511.

1155513600 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 51 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155513607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1554829 + ... + 1555571.

Almost surely, 2^1155513600 is an apocalyptic number.

1155513600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144998128).

1155513600 is an abundant number, since it is smaller than the sum of its proper divisors (3134482656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1155513600 is an frugal number, since it uses more digits than its factorization.

1155513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 1155513600 is about 33992.8463062451. The cubic root of 1155513600 is about 1049.3612441518.

The spelling of 1155513600 in words is "one billion, one hundred fifty-five million, five hundred thirteen thousand, six hundred".